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NDA Math Definite Integrals
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© examsnet.com
Question : 34
Total: 62
What is
3
∫
1
|
1
−
x
4
|
d
x
equal to ?
[NDA II 2016]
−
232
5
−
116
5
116
5
232
5
Validate
Solution:
I
=
3
∫
1
|
1
−
x
4
|
d
x
I
=
3
∫
1
−
(
1
−
x
4
)
d
x
(
∵
|
x
|
=
{
x
,
x
≥
0
−
x
,
x
<
0
)
I
=
3
∫
1
(
x
4
−
1
)
d
x
⇒
I
=
[
x
5
5
−
x
]
1
3
I
=
(
3
5
5
−
3
)
−
(
1
5
5
−
1
)
⇒
I
=
232
5
© examsnet.com
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